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 Sin

 http://functions.wolfram.com/01.06.23.0018.01

 Input Form

 Sum[(z^k Sin[k x])/k!, {k, 1, Infinity}] == E^(z Cos[x]) Sin[z Sin[x]]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "\[Infinity]"], FractionBox[RowBox[List[SuperscriptBox["z", "k"], " ", RowBox[List["Sin", "[", RowBox[List["k", " ", "x"]], "]"]]]], RowBox[List["k", "!"]]]]], "\[Equal]", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["z", " ", RowBox[List["Cos", "[", "x", "]"]]]]], " ", RowBox[List["Sin", "[", RowBox[List["z", " ", RowBox[List["Sin", "[", "x", "]"]]]], "]"]]]]]]]]

 MathML Form

 k = 1 z k sin ( k x ) k ! z cos ( x ) sin ( z sin ( x ) ) k 1 z k k x k -1 z x z x [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k_", "=", "1"]], "\[Infinity]"], FractionBox[RowBox[List[SuperscriptBox["z_", "k_"], " ", RowBox[List["Sin", "[", RowBox[List["k_", " ", "x_"]], "]"]]]], RowBox[List["k_", "!"]]]]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["z", " ", RowBox[List["Cos", "[", "x", "]"]]]]], " ", RowBox[List["Sin", "[", RowBox[List["z", " ", RowBox[List["Sin", "[", "x", "]"]]]], "]"]]]]]]]]

 Date Added to functions.wolfram.com (modification date)

 2001-10-29